A farmer owns 0.871 km2 of land. Currently all of the land is lawn; there are no trees, buildings or other objects on the land.The farmer wants to build 11 huts on his land. Each hut will be 12.5 m long and 41.2 m wide.What area of lawn will remain after the huts have been built?_______m2(Just give the number as your answer. You should not include units as these are given in the question.)
Question
A farmer owns 0.871 km2 of land. Currently all of the land is lawn; there are no trees, buildings or other objects on the land.The farmer wants to build 11 huts on his land. Each hut will be 12.5 m long and 41.2 m wide.What area of lawn will remain after the huts have been built?_______m2(Just give the number as your answer. You should not include units as these are given in the question.)
Solution
First, we need to convert the area of the land from km2 to m2 because the dimensions of the huts are given in meters. We know that 1 km2 is equal to 1,000,000 m2. So, the total area of the land in m2 is 0.871 km2 * 1,000,000 = 871,000 m2.
Next, we calculate the area of one hut. The area of a rectangle (which is the shape of the hut) is length * width. So, the area of one hut is 12.5 m * 41.2 m = 515 m2.
Since there are 11 huts, the total area of the huts is 11 * 515 m2 = 5665 m2.
Finally, we subtract the total area of the huts from the total area of the land to find the remaining area of lawn. So, the remaining area of lawn is 871,000 m2 - 5665 m2 = 865335 m2.
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